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Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 1, Pages 119–156
DOI: https://doi.org/10.1070/IM1991v037n01ABEH002055 (Mi im1075) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a system of equations describing surface waves

P. I. Naumkin, I. A. Shishmarev
English version PDF (1525 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1991v037n01ABEH002055
Abstract: A new system of equations is proposed which describes surface waves in a fluid. The basic conservation laws are found for this system. The Cauchy problem for this system is considered, and the existence of a global solution (in time), the breakdown of a solution in finite time, and the smoothing of a discontinuous initial perturbation are studied.
Received: 14.12.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1990, Volume 54, Issue 4, Pages 774–809
Bibliographic databases:
UDC: 517.958
MSC: 35Q20, 76B15
Language: English
Original paper language: Russian
Citation: P. I. Naumkin, I. A. Shishmarev, “On a system of equations describing surface waves”, Izv. Akad. Nauk SSSR Ser. Mat., 54:4 (1990), 774–809; Math. USSR-Izv., 37:1 (1991), 119–156
Citation in format AMSBIB
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\by P.~I.~Naumkin, I.~A.~Shishmarev
\paper On a system of equations describing surface waves
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1990
\vol 54
\issue 4
\pages 774--809
\mathnet{http://mi.mathnet.ru/im1075}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1073086}
\zmath{https://zbmath.org/?q=an:0759.35038|0721.35056}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37..119N}
\transl
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 1
\pages 119--156
\crossref{https://doi.org/10.1070/IM1991v037n01ABEH002055}
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  • https://doi.org/10.1070/IM1991v037n01ABEH002055
  • https://www.mathnet.ru/eng/im/v54/i4/p774
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:281
    Russian version PDF:134
    English version PDF:6
    References:37
    First page:3
     
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